Question

Cards marked with number 13,14,15,......60 are placed in a box and mixed well . One card is drawn at random from the box. Find the probability that number on the card ghjvkdivisible by 5.
$2.$
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Answer 1

Solution(i):

Let E be event of drawing a card with number divisible by 5 from the cards marked with numbers 13,14,15,....,60

Numbers divisible by 5 from 13 to 60=15,20,25,30,35,40,45,50,55,60

No. of favorable outcomes=10

Total no. of possible outcomes =48

We know that, Probability P(E) =

(Total no.of possible outcomes)/

(No.of favorable outcomes)

= 48/10

= 24/5

Therefore, the probability that a number on the card selected from numbers 13,14,15,...,60 divisible by 5 is

24/5

Solution(ii):

Let G be event of drawing a card with a perfect square number from the cards marked with numbers 13,14,15,....,60

Numbers, perfect square, from 13 to 60=16,25,36,49

No. of favorable outcomes=4

Total no. of possible outcomes =48

We know that, Probability P(G) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

= 48/4 = 12/1

Therefore, the probability that a card with perfect square number is selected from numbers 13,14,15,...,60 =

12

1

Answer 2

Answer:

Solution(i):

Let E be event of drawing a card with number divisible by 5 from the cards marked with numbers 13,14,15,....,60

Numbers divisible by 5 from 13 to 60=15,20,25,30,35,40,45,50,55,60

No. of favorable outcomes=10

Total no. of possible outcomes =48

We know that, Probability P(E) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

48

10

=

24

5

Therefore, the probability that a number on the card selected from numbers 13,14,15,...,60 divisible by 5 is

24

5

Solution(ii):

Let G be event of drawing a card with a perfect square number from the cards marked with numbers 13,14,15,....,60

Numbers, perfect square, from 13 to 60=16,25,36,49

No. of favorable outcomes=4

Total no. of possible outcomes =48

We know that, Probability P(G) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

48

4

=

12

1

Therefore, the probability that a card with perfect square number is selected from numbers 13,14,15,...,60 =

12

1